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Finding the Third Proportional to 134,594 and 196,995

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Solution

The third proportional to 134,594 and 196,995 is: 288,326.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,594 : 196,995 = 196,995 : x
  2. Step 2: Convert to fraction form
    134,594/196,995 = 196,995/x
  3. Step 3: Cross multiply
    134,594x = 196,995 × 196,995
  4. Step 4: Simplify right side
    134,594x = 38,807,030,025
  5. Step 5: Solve for x
    x = 38,807,030,025/134,594
  6. Step 6: Final answer
    x = 288,326.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.